The Stars Align (1080p; 8:21) contains some interview segments with John Green.

Promotional Featurettes include:

The Scribe on Set (1080p; 4:10) has some footage of Green interacting with the stars.

Our Little Infinity (1080p; 1:03) is an EPK with interviews.

The Music Behind Our Stars (1080p; 3:11) focuses on the film's score.

Gallery (1080p; 2:03 in auto advance mode)

Theatrical Trailer (1080p; 2:19)

Hazel and Gus are two teenagers who share an acerbic wit, a disdain for
the conventional, and a love that sweeps them on a journey. Their
relationship is all the more miraculous, given that Hazel's other
constant companion is an oxygen tank, Gus jokes about his prosthetic
leg, and they met and fell in love at a cancer support group.